Question

Write \[\dfrac{2}{{20}}\] as a percent.

Answer 1

Hint:To convert a fraction to a percent, first the numerator is divided by the denominator. Then the decimal is multiplied by 100 or the denominator (bottom) of the fraction can be multiplied by a number to make the denominator equal to 100. The numerator (top) of the fraction can be multiplied by the same number. This new number can be taken with a \[\% \] sign after it.

Complete step by step solution:
To write \[\dfrac{2}{{20}}\]as a percent, multiply the number by 100.
The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, the numerator is divided by the denominator. This will give the answer as a decimal.
Multiplying the number by 100 and adding % to it we have,
\[
\dfrac{2}{{20}} \times 100 \\
\Rightarrow 0.1 \times 100 \\
\Rightarrow 10\% \\
\\
\]
Since, \[\dfrac{2}{{20}}\]when divided gives 0.1 and 0.1 when multiplied by 100 gives 10. After the calculation just the symbol of percentage is added.

Note: We can use bar models to represent the conversions from fractions to decimals. Bar models can be drawn with equal sections and the numerator part can be shaded from the entire bar model. A bar can be drawn underneath of the same size. The equivalent sections can be shaded in the lower bar model. Whenever there are conversions from fraction to percent it should be done by generally dividing the given fraction with each other and then multiplying it with 100. Then the result which is obtained \[\% \]sign is added.